Academy Awards

1982 "Tootsie" - Best Supporting Actress (WINNER)
1982 "Frances" - Best Actress (nomination)
1984 "Country" - Best Actress (nomination)
1985 "Sweet Dreams" - Best Actress (nomination)
1990 "Music Box" - Best Actress (nomination)
1994 "Blue Sky" - Best Actress (WINNER)

Golden Globes Awards

1976 "King Kong" - New Star of the Year (WINNER)
1982 "Tootsie" - Best Supporting Actress (WINNER)
1982 "Frances" - Best Actress (nomination)
1984 "Country" - Best Actress (nomination)
1990 "Music Box" - Best Actress (nomination)
1992 "O Pioneers!" - Best Actress in a Motion PIcture for TV (nomination)
1994 "Blue Sky" - Best Actress (WINNER)
1996 "A Streetcar Named Desire" - Best Actress in a Motion Picture for TV(WINNER)
1997 "A Thousand Acres" - Best Actress (nomination)

Emmy Awards

1996 "A Streetcar Named Desire" - Best Lead Actress in a Mini-Series or Special for TV (nomination)
2003 "Normal" - Best Lead Actress in a Movie for TV (nomination)

British Academy Awards

1982 "Tootsie" - Best Supporting Actress (nomination)

Olivier Awards (for British theatre)

2001 "Long Day's Journey Into Night" - Best Actress (nomination)

Women In Film Crystal Award
June 2000 - This award honors outstanding women who have helped to expand the role of women within the entertainment industry.